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Finding the Third Proportional to 13,680.14 and 20,618.93

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Solution

The third proportional to 13,680.14 and 20,618.93 is: 31,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.14 : 20,618.93 = 20,618.93 : x
  2. Step 2: Convert to fraction form
    13,680.14/20,618.93 = 20,618.93/x
  3. Step 3: Cross multiply
    13,680.14x = 20,618.93 × 20,618.93
  4. Step 4: Simplify right side
    13,680.14x = 425,140,261.46
  5. Step 5: Solve for x
    x = 425,140,261.46/13,680.14
  6. Step 6: Final answer
    x = 31,077.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.